In Ref. [1]} we obtained all terms except the rational terms of \(O(\nu ^2)\) , the
calculation of which we had not yet
completed, as far as local contributions to the tail terms were concerned. For \(\bar{d}_5\)  and \(a_6\)  we have,
more than in Ref. [2]}, obtained the \(O(\nu ^2 \pi ^2)\)  terms, which stem from the potential
contributions. We remind that the magnetic quadrupole contribution necessitates a
finite renormalizationIn renormalizable Quantum Field Theories the related problem is the
so–called \(\gamma _5\)  problem, cf. [3]}, and the corresponding operation is called a finite
renormalization which is well–known from numerous calculations.
due to the analytic continuation of \(\varepsilon _{ijk}\)  in dimensional regularization,
which implies the contribution \(\delta _J H\) , Eq. (61) in [1]}.A slightly different
\(D\) –dimensional representation than used in [1]} has been presented later in
Ref. [6]}, leading to the same contribution \(\delta _J H\) , however.
There also multipole moments, vanishing in \(d=3\)  dimensions have been discussed. They do not contribute
in the present case [7]}. We observe the same
finite renormalization in the \(O(\nu )\)  term for the binding energy and the local contribution to periastron
advance \(K^{\rm loc,h}(\hat{E},j)\) , cf. [1]}. Here `h' stands for harmonic coordinates.
